A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
By using the trial method we get a total number of trials taken by Charlie to see both sides of both the coins is 4.
<h3>What is probability?</h3>
Probability is the name of the area of mathematics that deals with the examination of random events. The ratio of favorable occurrences to the total number of events is used to calculate an event's probability.
P(E) = F(E)/T (E)P(E)
It stands for the probability that an event will occur.
F(E) = Amount of favorable occurrences
Total number of trials (T(E))
Given that Charlie has 2 fair coins.
If he tosses the pair of coins simultaneously, then the number of samples can be HH, HT, TH, TT.
So to see both sides of both the coins he should toss the coin four times.
To know more about probability, visit:
brainly.com/question/12629667
#SPJ4
well, let's see the 10-pack is $15.37 BUT each of those 10 bars are 2.1 oz, so for the whole package you're getting really 10 * 2.1 = 21.0 oz.
the 12-pack costs $15.35 BUT each of those 12 bars are 1.4 oz, so for the whole package you're getting 12 * 1.4 = 16.8 oz.
which is the better deal? which one gives you more ounces for the money? after all, you're going to eat the bars, so you want more ounces, not more bars.
so clearly you'd want to get the cheapest one with more ounces, so at $0.73 or 73 cents for each ounce, the 10-pack is the cheapest.
Answer:
B
Step-by-step explanation:
the measure of the chord- chord angle ABC is half the sum of the arcs intercepted by the angle and its vertical angle , that is
∠ ABC = 
(AC + DE) = (75 + 45)° = × 120° = 60°
The last name I am pretty sure of it.
